Doctor of Philosophy
Professor Martin Pinsonnault
In this thesis we study the existence of an infinite-dimensional analog of maximal torus in the symplectomorphism groups of toric manifolds. We also prove an infinite-dimensional version of Schur-Horn-Kostant convexity theorem. These results are extensions of the results of Bao-Raiu, Elhadrami, Bloch-Flachka-Ratiu and Bloch-El Hadrami-Flaschka-Raiu.
Mousavi, Seyed Mehdi, "A Convexity Theorem For Symplectomorphism Groups" (2012). Electronic Thesis and Dissertation Repository. 775.